Series of Bessel and Kummer-type functions
Author(s)
Bibliographic Information
Series of Bessel and Kummer-type functions
（Lecture notes in mathematics, 2207）
Springer, c2017
Available at / 39 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2207200037148901
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Note
Includes bibliographical references (p. 185-198) and index
Description and Table of Contents
Description
This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schloemilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions. The aim is also to find the coefficients of the Neumann and Kapteyn series, as well as closed-form expressions and summation formulas for the series of Bessel functions considered. Some integral representations are deduced using techniques from the theory of differential equations.
The text is aimed at a mathematical audience, including graduate students and those in the scientific community who are interested in a new perspective on Fourier-Bessel series, and their manifold and polyvalent applications, mainly in general classical analysis, applied mathematics and mathematical physics.
Table of Contents
1. Introduction and Preliminaries.- 2. Neumann Series.- 3. Kapteyn Series.- 4. Schlomilch Series.- 5. Miscellanea.
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